On some fractal sets only containing irrationals
Number Theory
2022-03-29 v6 Dynamical Systems
Abstract
In this paper, we prove that many fractal sets generated by the associated dynamical systems only contain irrationals. As an application, we explicitly construct some overlapping self-similar sets which only consist of irrationals.
Cite
@article{arxiv.2103.12914,
title = {On some fractal sets only containing irrationals},
author = {Kan Jiang},
journal= {arXiv preprint arXiv:2103.12914},
year = {2022}
}